In Q. 5, the energy density at a distance 3.5 m from the source will be (in joule/m ^3 ) (A) 1.

step 1 In this problem I can write the value of energy density at 3 .5 meter u is equal to 1 by 2 E0 EM

In Q. 5, the energy density at a distance 3.5 m from the...

In Q. 5, the energy density at a distance $3.5 \mathrm{~m}$ from the source will be (in joule/m $^{3}$ )
(A) $1.73 \times 10^{-5}$
(B) $1.73 \times 10^{-6}$
(C) $1.73 \times 10^{-7}$
(D) $1.73 \times 10^{-8}$

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Key Concepts

Inverse Square Law

The inverse square law is a fundamental principle stating that the intensity of energy or any other effect radiating from a point source decreases with the square of the distance from the source. This is because as the distance increases, the energy is spread over a larger spherical surface area, causing a rapid falloff of energy density.

Energy Density

Energy density is a measure of the concentration of energy per unit volume at a given point in space. In fields such as electromagnetism, it quantifies how much energy is stored or transmitted through a specific volume, serving as an important parameter when analyzing the distribution and propagation of energy from a source.

Intensity

Intensity refers to the power transmitted per unit area, and it is deeply related to energy density by incorporating the speed at which energy is transmitted. For electromagnetic waves, knowing the intensity can help determine the energy density, and vice versa, making it a critical concept for understanding energy dispersion in space.

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